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On the other hand if we consider this to be 2 equations in 2 unknowns we can find conditions under which the problem has a solution (i.e. determinant not zero). Then you can dispense with intuition, which is not maths. So, visually: x + y = 110x - y = 100 ==> 2y = 110 - 100 = 10 => y = 10/2 = 5. In mathematics the art of proposing a question must be held of higher value than solving it.Georg Cantor
On the other hand if we consider this to be 2 equations in 2 unknowns we can find conditions under which the problem has a solution (i.e. determinant not zero). Then you can dispense with intuition, which is not maths.
So, visually:
x + y = 110
x - y = 100
==> 2y = 110 - 100 = 10 => y = 10/2 = 5.
In mathematics the art of proposing a question must be held of higher value than solving it.
Georg Cantor
